/usr/include/libmesh/quadrature_jacobi.h is in libmesh-dev 0.7.1-2ubuntu1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 | // $Id: quadrature_jacobi.h 3874 2010-07-02 21:57:26Z roystgnr $
// The libMesh Finite Element Library.
// Copyright (C) 2002-2008 Benjamin S. Kirk, John W. Peterson, Roy H. Stogner
// This library is free software; you can redistribute it and/or
// modify it under the terms of the GNU Lesser General Public
// License as published by the Free Software Foundation; either
// version 2.1 of the License, or (at your option) any later version.
// This library is distributed in the hope that it will be useful,
// but WITHOUT ANY WARRANTY; without even the implied warranty of
// MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
// Lesser General Public License for more details.
// You should have received a copy of the GNU Lesser General Public
// License along with this library; if not, write to the Free Software
// Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
#ifndef __quadrature_jacobi_h__
#define __quadrature_jacobi_h__
// C++ includes
// Local includes
#include "quadrature.h"
namespace libMesh
{
// ------------------------------------------------------------
// QJacobi class definition
/**
* This class implements two (for now) Jacobi-Gauss quadrature
* rules. These rules have the same order of accuracy as the
* normal Gauss quadrature rules, but instead of integrating
* a weight function w(x)=1, they integrate w(x)=(1-x)^alpha * (1+x)^beta.
* The reason that they are useful is that they allow you to
* implement conical product rules for triangles and tetrahedra.
* Although these product rules are non-optimal (use more points
* than necessary) they are automatically constructable for high
* orders of accuracy where other formulae may not exist.
*
* There is not much sense in using this class directly,
* since it only provides 1D rules, weighted, as described before.
* Still, this class is particularly helpful: check \p QGauss
* for triangles and tetrahedra, with orders beyond \p FIFTH.
*/
class QJacobi : public QBase
{
public:
/**
* Constructor. Currently, only one-dimensional rules provided.
* Check \p QGauss for versions of Jacobi quadrature rule for
* higher dimensions.
*/
QJacobi (const unsigned int _dim,
const Order _order=INVALID_ORDER,
const unsigned int _alpha=1,
const unsigned int _beta=0);
/**
* Destructor. Empty.
*/
~QJacobi() {}
/**
* @returns the \p QuadratureType, either
* \p QJACOBI_1_0 or \p QJACOBI_2_0.
*/
QuadratureType type() const;
private:
const unsigned int _alpha;
const unsigned int _beta;
void init_1D (const ElemType _type=INVALID_ELEM,
unsigned int p_level=0);
};
// ------------------------------------------------------------
// QJacobi class members
inline
QJacobi::QJacobi(const unsigned int d,
const Order o,
const unsigned int a,
const unsigned int b) : QBase(d,o), _alpha(a), _beta(b)
{
// explicitly call the init function in 1D since the
// other tensor-product rules require this one.
// note that EDGE will not be used internally, however
// if we called the function with INVALID_ELEM it would try to
// be smart and return, thinking it had already done the work.
if (_dim == 1)
init(EDGE2);
}
inline
QuadratureType QJacobi::type() const
{
if ((_alpha == 1) && (_beta == 0))
return QJACOBI_1_0;
else if ((_alpha == 2) && (_beta == 0))
return QJACOBI_2_0;
else
{
libmesh_error();
return INVALID_Q_RULE;
}
}
} // namespace libMesh
#endif
|